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On a family of Kepler problems with linear dissipation
Margheri, Alessandro
Ortega, Rafael
Rebelo, Carlota
2017
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e-ISSN
2464-8728
Abstract
We consider the dissipative Kepler problem for a family of dissipations that is linear in the velocity. Under mild assumptions on the drag coefficient, we show that its forward dynamics is qualitatively similar to the one obtained in [15] and [16] for a constant drag coefficient. In particular, we extend to this more general framework the existence of a continuous vector-valued first integral I obtained as the limit along the trajectories of the Runge-Lenz vector. We also establish the existence of asymptotically circular orbits, so improving the result about the range of I contained in [16].
Part of
49 (2017)
Publisher
EUT Edizioni Università di Trieste
Source
A. Margheri, R. Ortega, C. Rebelo, "On a family of Kepler problems with linear dissipation", in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics", 49 (2017), Trieste, EUT Edizioni Università di Trieste, 2017, pp. 265-286
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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